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We demonstrate the capability of coupled-cluster theory to compute theCoulomb sum rule for the $^4$He and $^{16}$O nuclei using interactions fromchiral effective field theory. We perform several checks, including a few-bodybenchmark for $^4$He. We provide an analysis of the center-of-masscontaminations, which we are able to safely remove. We then compare with othertheoretical results and experimental data available in the literature,obtaining a fair agreement. This is a first and necessary step towardsinitiating a program for computing neutrino-nucleus interactions from firstprinciples and supporting the experimental long-baseline neutrino program witha state-of-the-art theory that can reach medium-mass nuclei.

Coulomb sum rule for $^4$He and $^{16}$O from coupled-cluster theory